Stability properties of a higher order scheme for a GKdV-4 equation modelling surface water waves
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Publication:694552
DOI10.1007/s10092-012-0055-3zbMath1253.35153OpenAlexW2088357200MaRDI QIDQ694552
Publication date: 12 December 2012
Published in: Calcolo (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10092-012-0055-3
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Nonlinear evolution equations (47J35)
Cites Work
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- On the inverse of a general pentadiagonal matrix
- Uniform stabilization of numerical schemes for the critical generalized Korteweg-de Vries equation with damping
- Compact sets in the space \(L^ p(0,T;B)\)
- Uniform exponential long time decay for the space semi-discretization of a locally damped wave equation via an artificial numerical viscosity
- Spatially accurate dissipative or conservative finite difference schemes derived by the discrete variational method
- Finite difference schemes for \(\frac{\partial u}{\partial t}=(\frac{\partial}{\partial x})^\alpha\frac{\delta G}{\delta u}\) that inherit energy conservation or dissipation property
- Existence of blow-up solutions in the energy space for the critical generalized KdV equation
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping
- Global Stabilization of the Generalized Korteweg--de Vries Equation Posed on a Finite Domain
- Uniform stabilization of a viscous numerical approximation for a locally damped wave equation
- Convergence of Galerkin Approximations for the Korteweg-de Vries Equation
- Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle
- Conservative, high-order numerical schemes for the generalized Korteweg—de Vries equation
- Why are solitons stable?
- Implicit Runge-Kutta Processes
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